14938 ÷ 8 = 1867 R2
Alright, let's work through the division of 14938 by 8 step by step.

Step 1:
8 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 8

Step 2:
8 goes into 14 1 times with a remainder of 6.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 8 from 14 to get 6.
Bring next digit (9) of the dividend behind the 6 and repeat the process: 69 / 8

Step 3:
8 goes into 69 8 times with a remainder of 5.
Write down 8 as next digit of of the result. 
Result so far: 18
Subtract 64 from 69 to get 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 8

Step 4:
8 goes into 53 6 times with a remainder of 5.
Write down 6 as next digit of of the result. 
Result so far: 186
Subtract 48 from 53 to get 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 8

Step 5:
8 goes into 58 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 1867
Subtract 56 from 58 to get 2.

The final result is 1867 with a remainder of 2.